Effect of random noise, quasi random noise and systematic random noise on unknown continuous stirred tank reactor (CSTR)

Abstract

Continuously stirred tank reactors (CSTRs) play a big role in chemical engineering and in industries nowadays. Therefore, it is important and necessary to make sure CSTRs work successfully by avoiding disturbance from external factors. In this paper, we look at the impact of different kind of uncertainties (errors) to the model fitting and the parameter estimation of the CSTR's, for both cases of exothermic and endothermic reactors by taking into consideration of high and low variances of noise into concentration and temperature of the model. Two parameters, activation energy E and pre-exponential Arrhenius reaction rate k 0 have been estimated and investigated, due to their sensitivities to the system facilitated by the guessed noisy data and by using Minimization Assimilation Method (MAM). Results showed that, the increase of noise in measurements affects activation energy E much more than the pre-exponential Arrhenius reaction rate k 0 for all types of noise as k 0 converges to its guessed values. Also, from the results obtained, the endothermic CSTR is more sensitive than the exothermic CSTR for any kind of noise according to much deviation observed in its estimated activation energy values. Furthermore, quasi random noise has provided closer values for parameter estimation compared to the remaining types of noise but with negative activation energies for both cases (exothermic and endothermic).

Markov Chain Monte Carlo Analysis of the Variable-Volume Exothermic Model for a Continuously Stirred Tank Reactor

“…The problem of characterizing the global dynamics of a single state non-linear stochastic CSTR system was addressed in [29] using the Fokker-Plank as the state probability distribution function, but the study of a several-state non-linear stochastic system is paramount as recommended in this article. In the same way, different types of reactors and types of reactions in the chemical engineering processes are widely defined, explained and described in [31]. The modeling and control of the CSTR were also conducted based on a mixed logical dynamical model which resulted in a satisfactory performance of the tank [32].…”

Mathematical modelling and analysis of deformable perturbed continuously stirred tank reactors (cstrs)

“…They argued that there is a need to develop stochastic CSTRs models that may be able to describe and capture the randomness aspects in the system. Another challenge of having some of non-converging CSTRs' parameters is found in Muhirwa et al (2017). Rowse (2011) claimed that choosing inappropriate range of CSTR's parameters impacts the expected yields from CSTRs while on the other hand, Karimi et al (2014) mentioned that it is very important to take care of stochastic disturbance intensities into CSTR models by considering a wide range of parameter estimation problems with prior knowledge about the parameters.…”